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Question
Find the differential dy for the following functions:
y = `(1 - 2x)^3/(3 - 4x)`
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Solution
dy = `[((3 - 4x)3(1 - 2x)^2(- 2) - (1 - 2x)^3(- 4))/(3 - 4x)^2] "d"x`
i.e., dy = `{(1 - 2x)^2/(3 - 4x)^2 [- 6(3 - 4x) + 4(1 - 2x)]} "d"x`
i.e., dy = `{(1 - 2x)^2/(3 - 4x)^2 [16x - 14]} "d"x`
= `2 ((8x - 7)(1 - 2x)^2)/(3 - 4x)^2 "d"x`
dy = `(2(8x - 7)(1 - 2x)^2)/(3 - 4x)^2 "d"x`
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